Finding the Third Proportional to 1,008.56 and 2,153.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,008.56 : 2,153.81 = 2,153.81 : x
2. Step 2: Convert to fraction form
   1,008.56/2,153.81 = 2,153.81/x
3. Step 3: Cross multiply
   1,008.56x = 2,153.81 × 2,153.81
4. Step 4: Simplify right side
   1,008.56x = 4,638,908.29
5. Step 5: Solve for x
   x = 4,638,908.29/1,008.56
6. Step 6: Final answer
   x = 4,599.52